What is 9x^2+4y^2-90x+189=0 ?

The solution to 9x^2+4y^2-90x+189=0 is Ellipse with (h,k)=(5,0),a=2,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+4y^2-90x+189=0

9 x^{2} + 4 y^{2} - 90 x + 189 = 0

(h, k) = (5, 0), a = 2, b = 3

Solution steps

9 x^{2} + 4 y^{2} - 90 x + 189 = 0

Rewrite

9 x^{2} + 4 y^{2} - 90 x + 189 = 0

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{2 ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, 0), a = 2, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (5, 0), b = 3, a = 2

x^{2} + 30 x + 12 y^{2} = 0

9 x^{2} + 14 y^{2} = 126

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{36} = 1

x^{2} + \frac{y ^{2}}{12} = 1

25 X^{2} + 4 Y^{2} - 250 X - 16 Y + 541 = 0

What is 9x^2+4y^2-90x+189=0 ?
The solution to 9x^2+4y^2-90x+189=0 is Ellipse with (h,k)=(5,0),a=2,b=3